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66904416 = 2532232307
BaseRepresentation
bin1111111100111…
…0000101100000
311122220002121100
43333032011200
5114111420131
610345554400
71441451415
oct377160540
9148802540
1066904416
1134847307
121a4a5a00
1310b26817
148c5810c
155d187e6
hex3fce160

66904416 has 36 divisors (see below), whose sum is σ = 190260252. Its totient is φ = 22301376.

The previous prime is 66904393. The next prime is 66904457. The reversal of 66904416 is 61440966.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115866 + ... + 116441.

It is an arithmetic number, because the mean of its divisors is an integer number (5285007).

Almost surely, 266904416 is an apocalyptic number.

It is an amenable number.

66904416 is an abundant number, since it is smaller than the sum of its proper divisors (123355836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66904416 is a wasteful number, since it uses less digits than its factorization.

66904416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232323 (or 232312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66904416 is about 8179.5119658816. The cubic root of 66904416 is about 405.9615743358.

The spelling of 66904416 in words is "sixty-six million, nine hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 232307 464614 696921 929228 1393842 1858456 2090763 2787684 3716912 4181526 5575368 7433824 8363052 11150736 16726104 22301472 33452208 66904416